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A somoneter wire resonates with a given ...

A somoneter wire resonates with a given tuning fork forming standing waves with five antindoes between the two bridges when a mass of 9 kg is suspended from the wire. Resonates with the same tuning fork forming three antindoes for the same postions of the bridges. the value of M is

A

25 Kg

B

5 kg

C

12.5 kg

D

1/25 kg

Text Solution

Verified by Experts

The correct Answer is:
A
`lambda_(1) = 2//5, lambda = 2l//5`
`v_(1) = nlambda_(1) = sqrt(T_(1)//m) = sqrt(9g//m)`
`v_(2) = nlambda_(2) = sqrt(Mg//m) lambda_(2)//lambda_(1) = sqrt(M//9) = 5//3, M = 25` Kg
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